Pith Number

pith:4ISRF2SS

pith:2012:4ISRF2SSHIHBF5GOKQZAQMQJ2S

not attested not anchored not stored refs pending

Mixing Properties of CSMA Networks on Partite Graphs

Alessandro Zocca, Johan S. H. van Leeuwaarden, Sem C. Borst

arxiv:1209.2859 v1 · 2012-09-13 · math.PR · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ISRF2SSHIHBF5GOKQZAQMQJ2S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:45:40.767788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22512ea523a0e12f4ce5432083209d48dcd1dac25403efb8a9a1fb1600038b6

Aliases

arxiv: 1209.2859 · arxiv_version: 1209.2859v1 · doi: 10.48550/arxiv.1209.2859 · pith_short_12: 4ISRF2SSHIHB · pith_short_16: 4ISRF2SSHIHBF5GO · pith_short_8: 4ISRF2SS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ISRF2SSHIHBF5GOKQZAQMQJ2S \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e22512ea523a0e12f4ce5432083209d48dcd1dac25403efb8a9a1fb1600038b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf750041d02a9aee4c37316558b097ded6f17060313dd2723c3b3560c5ae8ed",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-13T11:39:49Z",
    "title_canon_sha256": "a2b73a2b4896bdae6eb1bb3f63fbb5bf0f53918b15b36a12a0e3306abc63969f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2859",
    "kind": "arxiv",
    "version": 1
  }
}